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Finding the Fourth Proportional to 202,117.23, 278,918.51 and 116,078.04

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Solution

The fourth proportional to 202,117.23, 278,918.51 and 116,078.04 is: 160,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117.23 : 278,918.51 = 116,078.04 : x
  2. Step 2: Convert to fraction form
    202,117.23/278,918.51 = 116,078.04/x
  3. Step 3: Cross multiply
    202,117.23x = 278,918.51 × 116,078.04
  4. Step 4: Simplify right side
    202,117.23x = 32,376,313,380.13
  5. Step 5: Solve for x
    x = 32,376,313,380.13/202,117.23
  6. Step 6: Final answer
    x = 160,185.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.